Answer with Step-by-step explanation:
We are given that two triangles ZXW and ZXY.
We have to prove that Zx is perpendicular bisector of WY.
By two column proof
Proof:
Statement :
Reason: Given
Statement:
Reason: Reflexive property of congruence
Statement:
Reason:SAS postulate
Statement:
Reason: CPCT
Reason: Linear pair
Statement:
Reason:Substitution property
Statement:
Reason: addition property
Statement:
Reason: Division property of equality
Statement:
Reason: Substitution property
When a line segment is a perpendicular bisector then it divides the opposite side into two equal parts and it is perpendicular to opposite side.
Hence, ZX is a perpendicular bisector of WY